[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{-4}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (-4) \pm \sqrt { (-4)^2 -4(2)(-7)}}{2(2)} \implies x= \cfrac{ 4 \pm \sqrt { 16 +56}}{ 4 } \\\\\\ x=\cfrac{4\pm 6\sqrt{2}}{4}\implies x=\cfrac{2\pm 3\sqrt{2}}{2}\implies x= \begin{cases} \frac{2\pm 3\sqrt{2}}{2}\\\\ -\frac{2\pm 3\sqrt{2}}{2} \end{cases}[/tex]
How many whole numbers are in 35?
Answer:
12
Step-by-step explanation:
there are 12
between 23 and 35
A shoe box has a volume of 64 cubic inches and a surface area of 160 square inches. What is the surface area of a similar shoe box if its volume is only 27 cubic inches? Show your work or explain how you got your answer.
Answer:
SA = 90 in²
Step-by-step explanation:
given 2 similar shapes with sides in ratio a : b , then
ratio of areas = a² : b²
ratio of volumes = a³ : b³
Given ratio of volumes = 64 : 27 , then
ratio of sides = [tex]\sqrt[3]{64}[/tex] : [tex]\sqrt[3]{27}[/tex] = 4 : 3
then ratio of areas = 4² : 3² = 16 : 9
let x be the surface area of the smaller box then by proportion
[tex]\frac{x}{9}[/tex] = [tex]\frac{160}{16}[/tex] = 10 ( multiply both sides by 9 )
x = 90
surface area of smaller box is 90 in²
67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that shoe box has a volume of 64 cubic inches and a surface area of 160 square inches.
We have to find the surface area of a similar shoe box if its volume is only 27 cubic inches
Lets form a proportional equation
64/160 = 27/x
Apply cross multiplication
64x=160(27)
64x=4320
Divide both sides by 64
x=4320/64
x=67.5
Hence, 67.5 square inches is the surface area of a similar shoe box if its volume is only 27 cubic inches
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Which is the correct stem-and-leaf plot for the data set?
42, 19, 21, 36, 32, 29, 19, 32, 24, 42
Answer:
Stem Leaf
1 9 9
2 1 4 9
3 2 2 6
4 2 2
Step-by-step explanation:
Tram Fancy Balloons has offered to sell its balloon
bouquet for a fixed down payment of $30 and an
additional charge of $3.25 per bouquet.
Answer:
rate of change:
y-intercept:
Step-by-step explanation:
your equation is y=3.25x+30
Here, the y-intercept is 30
your rate of change is $3.25, since you get charged $3.25 per bouquet.
The rate of change is $3.25 and the y-intercept is $30.
What is an Equation?A mathematical statement that relates two algebraic expressions by an equal sign.
The Tram fancy balloons has offered a down payment of $30
and the charge per bouquet is $3.25
Let x represent the number of bouquets
The equation for the total cost can be formed is
y = 30 + 3.25*x
On comparing this with the standard equation y =mx+c
Here m is the slope and the rate of change and c is the y intercept
So,
The rate of change is $3.25
the y-intercept is $30
Therefore, the rate of change is $3.25 and the y-intercept is $30.
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I need help please anyone
I’ll give you brainlist
Answer:
just count up that equals 1000
WILL MARK BRAINLIEST FIRST CORRCET ANSWER
The Venn diagram of each situation is a diagrammatic way of representing what the situation stands for
How to make the Venn diagrams?Diagram 1: A ∩ B ∩ C
This means that we shade all intersection points of the sets A, B and C
Diagram 2: (A ∩ B) ∪ C
This means that we shade the intersection points of the sets A and B and the whole of set C
Diagram 3: A ∩ (B ∪ C)
This means that we shade the where the set A intersects with the whole of sets B and C
Diagram 4: (A ∩ B) \ C
This means that we shade the intersection point of the sets A and B without shading any point on set C
Diagram 5: (A\B) ∪ (B\C) ∪ (A\C)
This means that we shade all set A without set B, all set B without set C and all set A without set C. In other words, we shade everything in the set without shading set C
See attachment for the diagrams
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Perimeter of EFGH
HELP
The answer is 10.
2.5 + 1.5 + 4 + 2 = 10.
I know it’s easy but for me personally I don’t know how to do it.
Answer:
-1/4 x 4 = -1
Step-by-step explanation:
:)
Graph the line with slope -2/3 passing through the point (3, 3).
Answer:
Step-by-step explanation:
y - 3 = -2/3(x - 3)
y - 3 = -2/3x + 2
y = -2/3x + 5
Find the surface area of the barn, brainiest will be given (urgent)
The surface area of the barn is 2040 square feet.
What is a rectangle?A rectangle is a plane shape with four sides and four right angles.
Analysis:
The barn is composed of:
Two straight long rectangles with dimensions = 10ft x 40ft
Two slant rectangles with dimensions = 10.6ft x 40ft
Two short rectangles with dimensions = 10ft x 14ft
Two triangles, height 8ft and base 14feet
The surface area of barn = 2(10x40) + 2(10.6 x 40) + 2(1/2 x 14 x 8) + 2(10 x 40) = 800 + 848 + 112 + 280 = 2040 square feet
In conclusion, the surface area of the barn is 2040 square feet.
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WHAT IS THE CO-EFFICIENT OF b in the expression b^2 - b5 + 18?
Answer:
-5 is the coefficient of b
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
What is the coefficient of b² in the expression b²-b⁵+18?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
1
[tex]\blue{\textsf{\textbf{\underline{\underline{How to Solve:-}}}}[/tex]
The coefficient is defined as a number before a variable.
If there's no number, then the coefficient is 1.
Since b² has no number next to it, its coefficient is 1.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Nick bought a new car.
Each year the car depreciates in value by 12%.
Work out the number of years it takes for the car to half in value.
Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
[tex]A(t) = A(0)(0.88)^t[/tex].
It halves in value at t years, for which A(t) = 0.5A(0), hence:
[tex]A(t) = A(0)(0.88)^t[/tex]
[tex]0.5A(0) = A(0)(0.88)^t[/tex]
[tex](0.88)^t = 0.5[/tex]
[tex]\log{(0.88)^t} = \log{0.5}[/tex]
[tex]t\log{0.88} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.88}}[/tex]
t = 5.42.
It takes 5.42 years for the car to halve in value.
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A window maker creates a round window to be placed into a square frame. The circumference of the window is 4 pi feet.
How long will each side of the square frame be?
OA 16 ft
OB. 4ft
OC. 2 ft
OD. 8 ft
Answer:
4ft
Step-by-step explanation:
Answer:
4ft
Step-by-step explanation:
can anyone help me find the area of these two pls ? ty
Answer:
Yes
Step-by-step explanation:
12) 31.5
14) 36
[tex]\sqrt[3]{3} (\sqrt[3]{4} +\sqrt[3]{32} )[/tex]
If ƒ(x) = − 10x + 8, then ƒ( − 9)=
Answer:
-10(-9)+8 or 98
Step-by-step explanation:
If they are asking for the question formart for an answer then plug in like the first answer if they’re asking for the full simplified answer then simplify the first answer and then you’ll get 98
If a person invests $310 in an account that
pays 8% interest compounded weekly,
find the balance after 8 years (round to the
nearest cent)
That person have $ 573.79 in his account balance after 8 years.
What is Compound Interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, Principal = $ 310
Rate of interest = 8%
Time = 8 years
We know,
Amount = P (1 + i )ⁿ
= 310 X (1 + 0.08)⁸
= 310 X 1.85
= $ 573.79
Thus, that person have $ 573.79 in his account balance after 8 years.
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how many fluid ounces is in 6 cups
Answer: 48
Step-by-step explanation: i know
Does anyone know the Answer? Please and Thank you!
Step-by-step explanation:
-3[tex]( - 3) - 5 \div ( - 13) - 8[/tex]If I earn $15/hour and work for 20 hours/week, how much would I earn in one
week?
A.) $35
B.)$300
C.)$150
D.)$30
Answer:
B.) $300
Step-by-step explanation:
just multiply 15 by how many hours you have
solve the system by the method of elimination. show steps.
x+2y=10
x-2y=6
Answer:
x=8, y=1
Step-by-step explanation:
subtract them from each other, so it ends up as 4y=4. y=1
therefore, x is 8 when you plug it back in.
Answer:
Step-by-step explanation:
2x = 16
x = 8
8 + 2y = 10
2y = 2
y = 1
(8, 1)
If a number is divisible by 2 and 3, why is it also divisible by 6?
Answer:
They have 6 when multiplying it
Step-by-step explanation:
PLS I NEED HELP ASAP
The triangles AEB and DEC are congruent by the SAA congruence theorem
How to prove that the triangles are congruent?The given parameters are:
AE ≅ DE∠A ≅ ∠D∠AEB ≅ ∠DECThe above parameters mean that:
AE ≅ DE; Line segments AE and DE are congruent∠A ≅ ∠D; Angles A and D are congruent∠AEB ≅ ∠DEC; Angles AEB and DEC are congruentAlso, it means that two corresponding angles and one corresponding side on triangles AEB and DEC are congruent;
This represents the ASA congruence theorem.
Hence, ΔAEB and ΔDEC are congruent by the SAA congruence theorem
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Question 4 of 10
What is a name for the angle below?
G
E
OA. ZEGF
OB. ZEFG
/EGE
F
Answer:
option B Is correct
in the above angle F is the vertex and EG are the arm of angles
The name of the angle below is ∠EFG.
Option B is the correct answer.
What is an angle?The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.
Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.
We have,
From the figure,
There is only one angle.
i.e
∠EFG = ∠GFE
Thus,
The name of the angle below is ∠EFG.
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Using the tables as experimental data, determine whether it is more likely for a new food establishment to succeed and
earn up to $25,000, or whether it is more likely for a new financial establishment to succeed and earn profits in either the
$25,000-50,000 range or the $50,000-75,000 range, and how much more likely the one situation is than the other.
Express all probabilities as percentages to two decimal places, and express differences by number of percentage points
(for example, 23% is 5 percentage points greater than 18%).
a The situation involving the food establishment has a probability 11.14 percentage points higher
than the situation involving the financial establishment
b. The situation involving the financial establishment has a probability 12.03 percentage points
higher than the situation involving the food establishment
c. The situation involving the food establishment has a probability 2.08 percentage points higher
than the situation involving the financial establishment
d. The situation involving the financial establishment has a probability 4.99 percentage points
higher than the situation involving the food establishment
The situation involving the food establishment has a probability 2.08 percentage points higher than the situation involving the financial establishment
How to determine the true statement?The question is incomplete, as the required table is not given.
From a more complete question, we have the following parameters:
The probability that the establishment earns up to $25k is 10.59%The probability that the establishment earns between $25k - $50k or $50k - $75k is 8.56%Using the above values, the difference in the probabilities is
d = 10.59% - 8.56%
This gives
d = 2.03%
Hence, the true statement about the probability is (d)
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Someone pls help I’ve been stuck on this all day and it’s due tomorrow!
Step-by-step explanation:
the first : e.g. a trapezoid
only 2 lines are parallel, but still it is a closed object with 4 vertexes and therefore 360° sum of internal angles. and 2 of the angles are smaller than 90°, and 2 are larger than 90°.
the second : a parallelogram, with all 4 sides having the same length. a square that is pushed e.g. on the top while the bottom stays.
the third : a rectangle. perpendicular means intersecting at 90°. but not a square. length and width must be different.
that's it, really. what was so confusing for you ?
A water wheel is designed in the shape of a regular octagon. What is the perimeter of the water wheel?
yft
(3,3)
2-
(4,0)
2xft
-
o
2
-2
OA BVIO ft
OB. VIO ft
OC. 80 ft
OD 8ft
The perimeter of the water wheel [tex]8\sqrt{10}[/tex]
The correct option is (A)
What is Distance Formula?
The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A( x, a) and B(y, b).
So, the distance between two points be: [tex]\sqrt{(y-x)^{2}+(b-a)^{2}}[/tex]
As water wheel is designed in the shape of regular octagon.
To find the perimeter of the water wheel.
Since the water wheel is in the shape of regular octagon all sides are equal.
Using Distance Formula,
D= [tex]\sqrt{(4-3)^{2}+(0-3)^{2}}[/tex]
= [tex]\sqrt{10}[/tex]
So, the side of regular octagon will be [tex]\sqrt{10}[/tex].
Perimeter of Regular Octagon = 8 x side
= [tex]8\sqrt{10}[/tex]
Hence, the perimeter of the water wheel [tex]8\sqrt{10}[/tex]
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Answer:
A
Step-by-step explanation:
Please I need help with this
Step-by-step explanation:
here AE = DE
AND BC = DC SO BY SAS IT IS CONGRUENT
Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?
Answer: y=5
Step-by-step explanation:
114+7y+y+26=180
8y+140=180
-140 -140
8y=40
8 8
y=5
Tell whether the system has one solution, infinitely many solutions, or no solution.
Answer:
B. The system has no solution.
Step-by-step explanation:
[12x + 7y] = (20)
[12x + 7y] = (11)
The numbers in (parentheses) are both different while the numbers in the [brackets] are the same.
20=7y+12x
7y=-12x+20y=-12/7x+20/712x+7y=11
7y=-12x+11y=-12/7x+11/7Slopes are
Lines are parallelNo solutions
